@article{AIHPC_2007__24_5_773_0,
author = {Coclite, G. M. and Holden, H.},
title = {The Schr\"odinger-Maxwell system with Dirac mass},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {24},
year = {2007},
pages = {773-793},
doi = {10.1016/j.anihpc.2006.06.005},
zbl = {1132.35024},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_2007__24_5_773_0}
}
Coclite, G. M.; Holden, H. The Schrödinger-Maxwell system with Dirac mass. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) pp. 773-793. doi : 10.1016/j.anihpc.2006.06.005. http://gdmltest.u-ga.fr/item/AIHPC_2007__24_5_773_0/
[1] , , , , The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity, Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (1) (2003) 477-500. | Numdam | MR 1972871 | Zbl 1028.35137
[2] , , , , Blow-up solutions for the Schrödinger equation in dimension three with a concentrated nonlinearity, Ann. Inst. H. Poincaré Anal. Non Linéaire 21 (1) (2004) 121-137. | Numdam | MR 2037249 | Zbl 1042.35070
[3] , , A class of nonlinear Schrödinger equations with concentrated nonlinearity, J. Func. Anal. 180 (1) (2001) 148-175. | MR 1814425 | Zbl 0979.35130
[4] , The approach to the Dirichlet problem. I. Regularity theorems, Ann. Scuola Norm. Sup. Pisa (3) 13 (1959) 405-448. | Numdam | MR 125306 | Zbl 0093.10601
[5] , , , , Solvable Models in Quantum Mechanics, second ed., AMS Chelsea Publishing, 2005. | MR 2105735 | Zbl 1078.81003
[6] , , , Schrödinger operators with magnetic fields I. General interaction, Duke Math. J. 45 (4) (1978) 847-883. | MR 518109 | Zbl 0399.35029
[7] , , , Schrödinger operators with magnetic fields I. Atoms in homogeneous magnetic fields, Comm. Math. Phys. 79 (4) (1981) 529-572. | MR 623966 | Zbl 0464.35086
[8] , , An eigenvalue problem for the Schrödinger-Maxwell equations, Topol. Methods Nonlinear Anal. 11 (2) (1998) 283-293. | Zbl 0926.35125
[9] , , Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations, Rev. Math. Phys. 14 (4) (2002) 409-420. | Zbl 1037.35075
[10] , A multiplicity result for the Schrödinger-Maxwell equations, Ann. Polon. Math. 79 (1) (2002) 21-30. | Zbl 1130.35333
[11] , A multiplicity result for the nonlinear Schrödinger-Maxwell equations, Comm. Appl. Anal. 7 (2-3) (2003) 417-423. | Zbl 1085.81510
[12] , , Solitary waves for Maxwell-Schrödinger equations, Electron. J. Differential Equations 2004 (94) (2004) 1-31. | Zbl 1064.35180
[13] , , , Classical bounds and limits for energy distributions of Hamiltonian operators in electromagnetic fields, Ann. Phys. 111 (1) (1978) 1-18. | MR 489509
[14] , , , Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations, Calc. Var. 4 (3) (1996) 265-281. | Zbl 0869.35105